On micropolar fluids in the theory of lubrication. Rigorous derivation of an analogue of the Reynolds equation

DOI10.1016/0020-7225(96)00031-6zbMath0900.76024OpenAlexW2052764185MaRDI QIDQ1386123

Grzegorz Łukaszewicz, Guy Bayada

Publication date: 1 November 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(96)00031-6

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05)

Related Items (12)

Analysis of micropolar fluids: existence of potential microflow solutions, nearby global well-posedness, and asymptotic stability ⋮ Analysis of the thin film flow in a rough domain filled with micropolar fluid ⋮ Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case ⋮ Mathematical derivation of a Reynolds equation for magneto-micropolar fluid flows through a thin domain ⋮ Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model ⋮ Effective flow of micropolar fluid through a thin or long pipe ⋮ NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION ⋮ Analysis of the roughness regimes for micropolar fluids via homogenization ⋮ Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid ⋮ Mathematical modeling of micropolar fluid flows through a thin porous medium ⋮ A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions ⋮ Reproductive weak solutions of magneto-micropolar fluid equations in exterior domains

Cites Work

• Finite element approximation of the Navier-Stokes equations
• How the Reynolds equation is related to the Stokes equations
• The transition between the Stokes equations and the Reynolds equation: A mathematical proof
• Lubrication theory for micropolar fluids and its application to a journal bearing
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